Modulational instability in Bose-Einstein condensates in optical lattices

被引：292

作者：

Konotop, VV

Salerno, M

机构：

[1] Univ Lisbon, Dept Fis, P-1649003 Lisbon, Portugal

[2] Univ Lisbon, Ctr Fis Mat Condensada, P-1649003 Lisbon, Portugal

[3] Univ Salerno, Dipartimento Fis ER Caianiello, I-84081 Baronissi, SA, Italy

[4] Ist Nazl Fis Mat, I-84081 Baronissi, SA, Italy

来源：

PHYSICAL REVIEW A | 2002年 / 65卷 / 02期

关键词：

D O I：

10.1103/PhysRevA.65.021602

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A self-consistent theory of a cylindrically shaped Bose-Einstein condensate (BEC) periodically modulated by a laser beam is presented. We show, both analytically and numerically, that modulational instability/stability is the mechanism by which wave functions of soliton type can be generated in a cylindrically shaped BEC subject to a one-dimensional optical lattice. The theory explains why bright solitons can exist in a BEC with positive scattering length and why condensates with negative scattering length can be stable and give rise to dark solitary pulses.

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页码：1 / 4

页数：4

相关论文

共 16 条

[1] Nonlinear excitations in arrays of Bose-Einstein condensates [J].

Abdullaev, FK ;

Baizakov, BB ;

Darmanyan, SA ;

Konotop, VV ;

Salerno, M .

PHYSICAL REVIEW A, 2001, 64 (04) :436061-4360610

[2] Macroscopic quantum interference from atomic tunnel arrays [J].

Anderson, BP ;

Kasevich, MA .

SCIENCE, 1998, 282 (5394) :1686-1689

[3] Bose-Einstein condensates in spatially periodic potentials [J].

Berg-Sorensen, K ;

Molmer, K .

PHYSICAL REVIEW A, 1998, 58 (02) :1480-1484

[4] Bose-Einstein condensates in standing waves: The cubic nonlinear Schrodinger equation with a periodic potential [J].

Bronski, JC ;

Carr, LD ;

Deconinck, B ;

Kutz, JN .

PHYSICAL REVIEW LETTERS, 2001, 86 (08) :1402-1405

[5] Output coupling of Bose condensates from atomic tunnel arrays: a numerical study [J].

Chiofalo, ML ;

Succi, S ;

Tosi, MP .

PHYSICS LETTERS A, 1999, 260 (1-2) :86-93

[6] Bose-Einstein condensates in an optical lattice [J].

Choi, DI ;

Niu, Q .

PHYSICAL REVIEW LETTERS, 1999, 82 (10) :2022-2025

[7] Theory of Bose-Einstein condensation in trapped gases [J].

Dalfovo, F ;

Giorgini, S ;

Pitaevskii, LP ;

Stringari, S .

REVIEWS OF MODERN PHYSICS, 1999, 71 (03) :463-512

[8] Modulational estimate for the maximal Lyapunov exponent in Fermi-Pasta-Ulam chains [J].

Dauxois, T ;

Ruffo, S ;

Torcini, A .

PHYSICAL REVIEW E, 1997, 56 (06) :R6229-R6232

[9] ENVELOPE-FUNCTION APPROACH FOR THE ELECTRODYNAMICS OF NONLINEAR PERIODIC STRUCTURES [J].

DESTERKE, CM ;

SIPE, JE .

PHYSICAL REVIEW A, 1988, 38 (10) :5149-5165

[10] Structural instability of vortices in Bose-Einstein condensates -: art. no. 140403 [J].

García-Ripoll, JJ ;

Molina-Terriza, G ;

Pérez-García, VM ;

Torner, L .

PHYSICAL REVIEW LETTERS, 2001, 87 (14) :140403/1-140403/4